Revista Matemática Iberoamericana
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Totally geodesic submanifolds of Damek–Ricci spacesSinhwi Kim, Yuri Nikolayevsky and JeongHyeong Park (1) Sungkyunkwan University, Suwon, Republic of Korea
(2) La Trobe University, Melbourne, Australia
(3) Sungkyunkwan University, Suwon, Republic of Korea
We classify totally geodesic submanifolds of Damek–Ricci spaces and show that they are either subgroups (“smaller” Damek–Ricci spaces) or isometric to rank-one symmetric spaces of negative curvature.
Keywords: Totally geodesic submanifold, Damek–Ricci space
Kim Sinhwi, Nikolayevsky Yuri, Park JeongHyeong: Totally geodesic submanifolds of Damek–Ricci spaces. Rev. Mat. Iberoam. Electronically published on October 26, 2020. doi: 10.4171/rmi/1228 (to appear in print)